PHYS-2211-A-SPRING24.903690020.2211HW3

pdf

School

Georgia Institute Of Technology *

*We aren’t endorsed by this school

Course

2211

Subject

Physics

Date

Feb 20, 2024

Type

pdf

Pages

6

Uploaded by serimegha

Report
2211HW3 closes 02/09/2024 at 11:59pm EST Megha Shivani Seri (903690020) This PDF is available for convenience. Assignments must be submitted within WeBWorK for credit. Problem 1 (1 point) A 1 kg object moving with a speed of 10 m/s collides perpendicularly with a wall and emerges with a speed of 9 m/s in the opposite direction. If the object is in contact with the wall for 6 ms, what is the magnitude of the average force on the object by the wall (in N)? A. 3166.66666666667 B. 4666.66666666667 C. 166.666666666667 D. 1500 E. 1833.33333333333 Problem 2 (1 point) A 2.6 kg ball falling vertically hits the floor with a speed of 3.4 m/s and rebounds with a speed of 1.5 m/s. What is the magnitude of the impulse exerted on the ball by the floor? A. 10.5299762582828 B. 12.74 C. 0 D. 21.76 Problem 3 (1 point) A 0.45 kg baseball is thrown with a speed of 37 m/s. It is hit striaght back at the pitcher with a speed of 69 m/s. What is the magnitude of the impulse exerted on the ball by the bat? A. 53 B. 95.4 C. 47.7 D. 78.2943165242535 Page 1
Problem 4 (1 point) As a result of a glancing collision with a surface, the velocity of a 1 kg mass changes from 9 m/s directed downward, to 8 m/s directed 60 degrees below the horizontal. What is the magnitude of the change in momentum of the mass? A. 6.5047 kg*m/s B. 7.6047 kg*m/s C. 4.5047 kg*m/s D. 5.6347 kg*m/s Problem 5 (1 point) A stream of gas consists of n molecules. Each molecule has a mass m and speed v. The beam is reflected elastically from a rigid surface as shown. The magnitude of the total change in momentum of the stream is: A. m*n*v*sin(2 θ ) B. 2*m*n*v*cos( θ ) C. m*n*v*cos(2 θ ) D. 2*m*n*v*sin( θ ) E. m*n*v Page 2
Problem 6 (1 point) Three 5 kg masses are located at points in the x-y plane as shown in the figure. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0, y = 0.30 m? ( G = 6 . 67 × 10 11 Nm 2 /kg 2 ) A. 2 . 5 × 10 8 N B. 1 . 75 × 10 8 N C. 2 . 3 × 10 8 N D. 2 . 6 × 10 8 N E. 1 . 9 × 10 8 N Problem 7 (1 point) In the following problems you will be asked to calculate the net gravitational force acting on the Moon. To do so, please use the following variables. Mass, Initial Position m Sun = m 1 , r Sun = < 0 , 0 , 0 > m Earth = m 2 , r Earth = < L, 0 , 0 > m Moon = m 3 , r Moon = < L, h, 0 > Page 3
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
For all blanks below, answers should be symbolic. (a) Calculate the gravitational force on the Moon due to the Earth. G is the universal gravitational constant. < , , > (b) Calculate the gravitational force on the Moon due to the Sun. < , , > (c) Determine the net gravitational force on the Moon. < , , > Problem 8 (1 point) A planet of mass 9 × 10 24 kg is at location ⟨− 1 × 10 11 , 5 × 10 11 , 0 m. A star of mass 2 × 10 30 kg is at location 2 × 10 11 , 3 × 10 11 , 0 m. It will be useful to draw a diagram of the situation, including the relevant vetors. What is the relative position vector r pointing from the planet to the star? < , , > m What is the distance between the planet and the star? m What is the unit vector ˆ r ? < , , > What is the magnitude of the force exerted on the planet by the star? N What is the magnitude of the force exerted on the star by the planet? N What is the (vector) force exerted on the planet by the star? < , , > N Page 4
What is the (vector) force exerted on the star by the planet? < , , > N Problem 9 (1 point) You are loading a dart gun. The spring that launches the dart has a spring constant 3350 N/m and a normal length of 8 cm. You push the dart into the gun and it contracts the spring until it is 0.5 cm long. How much force does the spring exert on the dart the instant it is released? Enter your answer in Newtons (e.g If the force is 100 N, enter your answer as 100) N Problem 10 (1 point) Dr. Greco takes a runup and jumps from a diving board into a pool as shown in the figure. The diving board is at a height of 10 metres from the surface of water. His velocity at the moment his feet leave the diving board is < 1 . 8 , 4 , 0 > m/s. Take the value of acceleration due to gravity to be g = 9 . 8 m/s 2 Page 5
How much time does it take for Greco to hit the pool? s What should be the minimum length of the pool such that Dr. Greco can land safely in the water? m Determine Dr. Greco’s velocity ⃗v = v x ˆ x + v y ˆ y the instant he hits the water. Find the x and y components of his velocity (with appropriate algebraic sign + or - according to the figure above) v x = m/s v y = m/s Generated by WeBWorK, © The WeBWorK Project. openwebwork.org
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help